Capacity regions of two new classes of 2-receiver broadcast channels

TL;DR

This paper introduces two new classes of 2-receiver broadcast channels, defines their capacity regions, and explores their relationships with existing classes, advancing understanding of broadcast channel capacities.

Contribution

It generalizes the concepts of less noisy and more capable receivers to new classes and characterizes their capacity regions using existing techniques.

Findings

Capacity regions for the new classes are established.

Relationships between new and existing classes are clarified.

Theoretical framework extends broadcast channel capacity understanding.

Abstract

Motivated by a simple broadcast channel, we generalize the notions of a less noisy receiver and a more capable receiver to an essentially less noisy receiver and an essentially more capable receiver respectively. We establish the capacity regions of these classes by borrowing on existing techniques to obtain the characterization of the capacity region for certain new and interesting classes of broadcast channels. We also establish the relationships between the new classes and the existing classes.